Copy of Pythagorean Data
Find examples of different triangle types (acute, obtuse, right, equilateral, isosceles and scalene).
For each, record whether the sum of the areas of the smaller squares is <, =, or > the area of the large square.
Look for patterns.
Think about why the patterns might be true. What's going on?
More GeoGebra at bit.ly/mh-ggb
1. What do you notice about the sum of areas of smaller squares as you compare it with the area of larger square? 2. Create formulas (use a, b, c) that compares the sum of areas of smaller squares with the area of larger square, when the triangle is : a. a Right triangle b. an Acute triangle c. an Obtuse triangle